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Finding the Third Proportional to 155,976.75 and 232,924.50

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Solution

The third proportional to 155,976.75 and 232,924.50 is: 347,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976.75 : 232,924.50 = 232,924.50 : x
  2. Step 2: Convert to fraction form
    155,976.75/232,924.50 = 232,924.50/x
  3. Step 3: Cross multiply
    155,976.75x = 232,924.50 × 232,924.50
  4. Step 4: Simplify right side
    155,976.75x = 54,253,822,700.25
  5. Step 5: Solve for x
    x = 54,253,822,700.25/155,976.75
  6. Step 6: Final answer
    x = 347,832.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.